Details

analyze1.5s (9.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Compiler

Compiled 20 to 19 computations (5% saved)

sample48.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
8.0ms	147×	body	128	invalid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify148.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4917	25
1	4917	25

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

6.7b

Counts

2 → 2

Compiler

Compiled 53 to 52 computations (1.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.5b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
3.2b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
10.5b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)

rewrite46.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_19174` `add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196`
18×	`times-frac_binary64_19180`
13×	`add-cbrt-cube_binary64_19210` `add-exp-log_binary64_19212`
9×	`pow1_binary64_19235`
6×	`associate-/l_binary64_19119` `add-log-exp_binary64_19213` `associate-/r_binary64_19118`
4×	`associate-/l/_binary64_19121`
3×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `associate-r_binary64_19114` `pow-prod-down_binary64_19245` `flip3-+_binary64_19177` `flip-+_binary64_19148`
2×	`frac-2neg_binary64_19185` `div-inv_binary64_19171` `div-exp_binary64_19225` `clear-num_binary64_19173` `cbrt-undiv_binary64_19208`
1×	`+-commutative_binary64_19104` `-commutative_binary64_19105` `associate-l*_binary64_19115` `sum-log_binary64_19265`

Counts

4 → 87

Calls

4 calls:

14.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
11.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
8.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
5.0ms	(.f64 (.f64 x 9) y)

series1.7s (10.6%)

Counts

4 → 102

Calls

4 calls:

845.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
539.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
219.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
48.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 2721 to 2636 computations (3.1% saved)

simplify96.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5036	3851

prune226.0ms (1.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	176	13	189
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	177	14	191

Error

6.2b

Counts

191 → 14

Compiler

Compiled 4153 to 2304 computations (44.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 1 (/.f64 z (+.f64 (.f64 (.f64 x 9) y) b)))
0.5b	(+.f64 (/.f64 1 (/.f64 z (+.f64 (.f64 (.f64 x 9) y) b))) (.f64 (.f64 t a) -4))
3.2b	(/.f64 z (+.f64 (.f64 (.f64 x 9) y) b))
10.5b	(/.f64 (+.f64 (/.f64 1 (/.f64 z (+.f64 (.f64 (.f64 x 9) y) b))) (.f64 (.f64 t a) -4)) c)

rewrite82.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`times-frac_binary64_19180`
64×	`*-un-lft-identity_binary64_19174` `add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196`
21×	`associate-/r*_binary64_19118`
19×	`add-exp-log_binary64_19212`
13×	`add-cbrt-cube_binary64_19210`
11×	`associate-/r/_binary64_19120`
9×	`associate-/l*_binary64_19119` `div-exp_binary64_19225`
7×	`div-inv_binary64_19171` `flip3-+_binary64_19177` `flip-+_binary64_19148`
6×	`add-log-exp_binary64_19213`
5×	`pow1_binary64_19235` `cbrt-undiv_binary64_19208`
3×	`frac-2neg_binary64_19185` `clear-num_binary64_19173`
2×	`associate-/l/_binary64_19121` `rec-exp_binary64_19224` `1-exp_binary64_19218`
1×	`+-commutative_binary64_19104` `pow-flip_binary64_19248` `inv-pow_binary64_19259` `sum-log_binary64_19265`

Counts

4 → 153

Calls

4 calls:

24.0ms	(+.f64 (/.f64 1 (/.f64 z (+.f64 (.f64 (.f64 x 9) y) b))) (.f64 (.f64 t a) -4))
24.0ms	(/.f64 (+.f64 (/.f64 1 (/.f64 z (+.f64 (.f64 (.f64 x 9) y) b))) (.f64 (.f64 t a) -4)) c)
11.0ms	(/.f64 1 (/.f64 z (+.f64 (.f64 (.f64 x 9) y) b)))
7.0ms	(/.f64 z (+.f64 (.f64 (.f64 x 9) y) b))

series1.8s (11.6%)

Counts

4 → 113

Calls

4 calls:

877.0ms	(/.f64 (+.f64 (/.f64 1 (/.f64 z (+.f64 (.f64 (.f64 x 9) y) b))) (.f64 (.f64 t a) -4)) c)
549.0ms	(+.f64 (/.f64 1 (/.f64 z (+.f64 (.f64 (.f64 x 9) y) b))) (.f64 (.f64 t a) -4))
212.0ms	(/.f64 1 (/.f64 z (+.f64 (.f64 (.f64 x 9) y) b)))
165.0ms	(/.f64 z (+.f64 (.f64 (.f64 x 9) y) b))

Compiler

Compiled 3258 to 3128 computations (4% saved)

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

266 → 266

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5042	6385

prune317.0ms (2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	265	1	266
Fresh	1	12	13
Picked	0	1	1
Done	0	0	0
Total	266	14	280

Error

6.2b

Counts

280 → 14

Compiler

Compiled 6667 to 3630 computations (45.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.5b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
3.2b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
10.6b	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))

rewrite51.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_19196`
22×	`*-un-lft-identity_binary64_19174`
21×	`add-cube-cbrt_binary64_19209`
20×	`add-exp-log_binary64_19212` `times-frac_binary64_19180`
16×	`associate-r_binary64_19114` `add-cbrt-cube_binary64_19210`
11×	`pow1_binary64_19235`
7×	`prod-exp_binary64_19223`
6×	`add-log-exp_binary64_19213`
5×	`cbrt-unprod_binary64_19207`
4×	`pow-prod-down_binary64_19245` `flip3-+_binary64_19177` `flip-+_binary64_19148` `associate-l_binary64_19115`
3×	`associate-/l_binary64_19119` `associate-/r_binary64_19118` `div-exp_binary64_19225` `unswap-sqr_binary64_19142`
2×	`associate-/l/_binary64_19121` `div-inv_binary64_19171` `-commutative_binary64_19105` `frac-times_binary64_19184` `associate-l/_binary64_19117` `cbrt-undiv_binary64_19208`
1×	`frac-2neg_binary64_19185` `+-commutative_binary64_19104` `associate-*r/_binary64_19116` `clear-num_binary64_19173` `un-div-inv_binary64_19172` `rec-exp_binary64_19224` `1-exp_binary64_19218` `sum-log_binary64_19265`

Counts

4 → 98

Calls

4 calls:

17.0ms	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
11.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
8.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
6.0ms	(.f64 (.f64 x 9) y)

series1.7s (10.8%)

Counts

4 → 102

Calls

4 calls:

856.0ms	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
542.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
215.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
59.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 2919 to 2834 computations (2.9% saved)

simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4980	4236
1	4980	4236

prune221.0ms (1.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	200	14	214

Error

6.2b

Counts

214 → 14

Compiler

Compiled 4676 to 2576 computations (44.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))))
0.5b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
3.2b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
10.5b	(/.f64 c (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)))

rewrite67.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`times-frac_binary64_19180`
64×	`*-un-lft-identity_binary64_19174` `add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196`
21×	`associate-/r*_binary64_19118`
19×	`add-exp-log_binary64_19212`
13×	`add-cbrt-cube_binary64_19210`
11×	`associate-/r/_binary64_19120`
9×	`associate-/l*_binary64_19119` `div-exp_binary64_19225`
7×	`div-inv_binary64_19171` `flip3-+_binary64_19177` `flip-+_binary64_19148`
6×	`add-log-exp_binary64_19213`
5×	`pow1_binary64_19235` `cbrt-undiv_binary64_19208`
3×	`frac-2neg_binary64_19185` `clear-num_binary64_19173`
2×	`associate-/l/_binary64_19121` `rec-exp_binary64_19224` `1-exp_binary64_19218`
1×	`+-commutative_binary64_19104` `pow-flip_binary64_19248` `inv-pow_binary64_19259` `sum-log_binary64_19265`

Counts

4 → 153

Calls

4 calls:

15.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))))
12.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)))
11.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
9.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)

series2.4s (15.3%)

Counts

4 → 135

Calls

4 calls:

834.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))))
769.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)))
554.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
220.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)

Compiler

Compiled 5332 to 4757 computations (10.8% saved)

simplify128.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4969	9137
1	4969	9137

prune383.0ms (2.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	284	4	288
Fresh	4	7	11
Picked	1	0	1
Done	1	1	2
Total	290	12	302

Error

6.2b

Counts

302 → 12

Compiler

Compiled 7775 to 4042 computations (48% saved)

regimes1.9s (12%)

Accuracy

Total 1.3b remaining (16.9%)

Threshold costs 0b (0%)

Compiler

Compiled 16565 to 15233 computations (8% saved)

bsearch4.0ms (0%)

Compiler: Compiled 19 to 18 computations (5.3% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	140	271
1	140	271

end0.0ms (0%)

sample2.6s (16.6%)

Algorithm

1×

intervals

Results

453.0ms	8000×	body	128	valid
284.0ms	4660×	body	128	invalid

Compiler

Compiled 1835 to 1554 computations (15.3% saved)

Details

analyze1.5s (9.6%)

sample48.0ms (0.3%)

simplify148.0ms (1%)

prune5.0ms (0%)

localize18.0ms (0.1%)

rewrite46.0ms (0.3%)

series1.7s (10.6%)

simplify96.0ms (0.6%)

prune226.0ms (1.5%)

localize14.0ms (0.1%)

rewrite82.0ms (0.5%)

series1.8s (11.6%)

simplify104.0ms (0.7%)

prune317.0ms (2%)

localize14.0ms (0.1%)

rewrite51.0ms (0.3%)

series1.7s (10.8%)

simplify99.0ms (0.6%)

prune221.0ms (1.4%)

localize15.0ms (0.1%)

rewrite67.0ms (0.4%)

series2.4s (15.3%)

simplify128.0ms (0.8%)

prune383.0ms (2.5%)

regimes1.9s (12%)

bsearch4.0ms (0%)

simplify7.0ms (0%)

end0.0ms (0%)

sample2.6s (16.6%)

Profiling